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Equations for two variable word problem?


a hospital wants to hire nurses and nurse aids. the avg annual salary is 35000 for a nurse and 18000 for a nurse aide.
50 people can be hired at max, and twenty at least. at least 12 aids must be hired and the number of nurses must be at least twice the number of aides.
how many should be hired to minimize cost?

how do i come up with the equations to graph this?
16 minutes ago - 3 days left to answer.

I don't know if this gets you as far as you need to get, but it sounded like you had it from the graph.

Let 'n' be nurses (they can also be x and y if thats simpler)
Let 'a' be aides

n+a < or= 50
n+a > or= 20
a > or= 12
n > or= 2a

Graph those equations as lines and figure out which section of the graph would signify number of each to be hired to minimize cost.

T=N+A
T<=50
T>=20
A>=12
N>=2A
2A+A>=20
3A>=20
A>=6.67
Rounding up, A=7, so N=2A=14
7 Aides and 14 nurses

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